09-08-2012, 11:56 AM
ECX 5241DISTRIBUTED PARAMETER SYSTEMS
DISTRIBUTED PARAMETER SYSTEMS.ppt (Size: 662 KB / Downloads: 29)
velocity field in a fluid
Basically a Lump parameter system is described by a system of differential equations.
In this system space and time variables are absent or negligibly small.
Unlike Lump parameter systems, the Distributed parameter systems cannot be modeled purely by ordinary differential equations.
As a result Distributed parameter model is more general for this physical system.
Divergence theorem
Volume integral of divergence of a vector field is equals to total outward flux through the closed surface that bounds the volume
v .A dv = s A.dS
Significance of the theorem
Provision to evaluate closed surface integral by volume integral of divergence of the vector field or volume integral of the divergence of a vector field by closed surface is the significance of the theorem.
Helmholtz’s theorem
A vector field is determined to within an additive constant if both divergence and curls are specified in
every where.
Simply it says a vector field can completely specify in terms of its curl and divergence alone